Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 318628: State the value of the discriminant: 10x^2+5x-5=0
Click here to see answer by jim_thompson5910(35256)

Question 318627: Find the x-intercepts: y=x^2+4x-5
Click here to see answer by Fombitz(32388)

Question 318690: Please help me find the quotient: -27x^n+2
---------
9x^n
Click here to see answer by stanbon(75887)

Question 318686: Please help me solve this equation by finding the quotient: (2x�+x+5)/(x+2)
Click here to see answer by Fombitz(32388)

Question 318797: Find the vertex, line of symmetry, maximum/minimum and if the graph opens up or down of: f(x)=1/4(x+1)^2+9
Click here to see answer by Fombitz(32388)

Question 317953: for the quadraic equation x^2-5x+5=0 give the exact and approximate solution to three decimal places.
Click here to see answer by JBarnum(2146)

Question 318665: word problem from chapter on quadratic equations: Pipe A can fill a tank in 4 hrs. If pipe B works alone, it takes 3 hrs longer to fill the tank than if both pipes work together. How long will it take for pipe B to fill the tank if it works alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 318965: Solve the quadratic equation
x� + 8x = 10x + 3

Click here to see answer by Fombitz(32388)

Question 319041: During the 1st part of a trip a man travels 100miles at a certain rate. On the 2nd part of the trip the man travels 14 miles at 5mph slower. What is the rate of speed during both parts of the trip. Whole trip takes 5hrs.
Click here to see answer by Fombitz(32388)

Question 319137: f(x)=(x-4)^2-4
Click here to see answer by nyc_function(2741)

Question 319174: Solve the equation.
8x2 + 22x - 6 = 0
x = _____ (smaller value)
x = _____ (larger value)
I can't solve this, someone help.
Click here to see answer by jim_thompson5910(35256)

Question 319077: During The 1st part of a trip a man travels 69 miles at a certain rate. On the 2nd part of the trip the man travels 23 miles at 5mph slower. What is the rate of speed during both parts of the trip. The whole trip takes 3 hours. (ROUND TO THE NEAREST HUNDREDTH).
Click here to see answer by solver91311(24713)

Question 319209: X^2-16x+a Completing the square find the value of a
Perfect square
Click here to see answer by jim_thompson5910(35256)

Question 319191: if you drop an object from 1936 feet, how long until it hits the ground?
Click here to see answer by ankor@dixie-net.com(22740)

Question 319278: Will someone please help me solve these problems.
1) Find the greatest common factor of the two expression: Simplify
20uy^8z^6 and 28u^7y^4
2) Find the least common multiple of the two expressions: Simplify
3t^6x^8y^5 and 12x^3y^6
3) Factor Completely: 27z^3+125
4) Factor: 9t+wt+9y+yw
5) Factor: -8t+xt-24x+3x^2

Click here to see answer by stanbon(75887)

Question 319321: Solve for x and use radicals as needed:
x^2 + 18x + 4 = 0
Thank you!!

Click here to see answer by stanbon(75887)

Question 319331: how do I solve this problem for value(s) of k?
x^2-8x+k=0
Click here to see answer by stanbon(75887)

Question 319338: how can you determine the nature of roots of this following equation: the square root of 3x suared minus 4 suare roots of 3 equals 0?
Click here to see answer by ankor@dixie-net.com(22740)

Question 319356: Write a quadratic equation in the variable x having the given number as solution.
Type the equation is standard form, ax^2 + bx + c = 0.

Question: Solution is 3 so what is the equation?
Click here to see answer by stanbon(75887)

Question 319367: Use a comma to separate answers as needed, unless it is not a real number
Solve: The square root of 5x + 29 = x + 3
Thanks so much!!
Click here to see answer by nyc_function(2741)

Question 319365: Simplify the answer, round to the nearest hundreth, and type an integer or decimal.
QUESTION:
During the first part of a trip, a canoeist travels over 77 miles at a certain speed. The canoeist travels 11 miles on the second part of the trip at a speed of 5mph slower . The total time for the trip is 3 hours. What was the speed on each part of the trip?
Click here to see answer by solver91311(24713)

Question 319355: EXAMPLE - SQUARE ROOT Of -10, 6 SQRT OF 10
ANSWER - X^2 - 5 SQRT OF 10x - 60 = 0
(number 5 is on the outside of the SQRT. Maybe its a multiple? Wasn't sure how to explain.)
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in the form, ax^2 + bx + c = 0
QUESTION: SQRT of -7, 5 SQRT 7
Thank you so much!!!
Click here to see answer by stanbon(75887)

Question 319350: Type an exact answer using radicals as needed and use commas to separate answers. What is the solution? w =
w^4 - 2w^2 - 2 = 0
Click here to see answer by ankor@dixie-net.com(22740)

Question 319478: xy-6=30 where y-2

Click here to see answer by Alan3354(69443)

Question 319480: (x+15).=10 y. where y=5
Click here to see answer by unlockmath(1688)

Question 319579: Solve for x and show your work
3x-2(-50/19)=40
Click here to see answer by stanbon(75887)

Question 194712: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. And then rank them fastest to slowest using the problem numbers.
f(x) = 2x � 5
f(x) = x2 - 4x + 3
f(x) = x3 + 4x2 - 2x - 3
f(x) = 7x
f(x) = log x
Click here to see answer by erie_acebedo(2)

Question 319817: Solve the equation.
x^2 + 8 = 28
Click here to see answer by nerdybill(7384)

Question 319986: Give an example of a quadratic equation in standard form that passes through the points (0, -14), (7, -28) and (5, -4). None of the given points is the vertex.
I am so lost! I plugged the values of x and y into the standard form, but I don't know what to do from there!

Click here to see answer by scott8148(6628)

Question 319987: A motorist travels a distance of 120 miles. Had she increased her average speed by 10 mi/hr she would have cut 36 minutes off of her travel time. Find her average speed.
Click here to see answer by mananth(16946)

Question 319980: A square field had 5 meters added to the length and 2 meters to its width. The field then had an area of 130 meters squared. Find the length of a side of the original field.
Click here to see answer by ankor@dixie-net.com(22740)

Question 320183: Please explain how I may obtain the needed answer.
I have
(x+3)^2=-25
I thought
(X+3)*(x+3)=X^2+6x+9= -25 and moved into quadratic form by adding 25 to both sides. like so,
x^2+6x+34=0 then solve for X.
At this point I usually give the brain a break and solve using the TI89.
Problem is that it keeps telling me false instead of the needed, {-3+5i,-3-5i}
Can anyone tell me where I went wrong?
Thanks
Click here to see answer by stanbon(75887)

Question 319958: Write a quadratic equation using standard form ax^2+bx^+c=0 where 10 is the only solution.
Write a quadratic equation using standard form where 1 is the only solution.
Write a quadratic equation using standard form where -sqrroot10,3sqrroot10 are the only solutions.
Click here to see answer by ankor@dixie-net.com(22740)

Question 320250: A worker dropped a screwdriver from the top of an elevator shaft. Exactly 5 seconds later he heard the sound of the screwdriver hitting the bottom of the shaft. How tall is the elevator shaft? Explain why the solution is 132.7 feet.
I know I am to use the following formula: s = .5gt^2+bt+c, where
s = height of object above ground
g = 32 on Earth - gravity on earth
t = the time since the start of the motion
b = the velocity of the object when t = 0, the initial velocity
c = the height of the object when t = 0, the initial height
I don't know how to figure out what b and c are so I solve my problem, any one out there who can help me?
Click here to see answer by scott8148(6628)

Question 320233: x^2-3x+1=0
what is the formula
Click here to see answer by Alan3354(69443)

Question 320386: In which direction does the parabola for the quadratic equation y = -5x2 � 16x + 21 open?
Click here to see answer by nerdybill(7384)

Question 320390: Find where two parabolas y= -2(x-3)^2 + 4 and y=2(x-2)^2 -1 intersect each other.
I keep coming up with another quadratic equation instead of a point! I also tried sketching both parabolas, but the exact point of intersection is difficult to verify.
Click here to see answer by Fombitz(32388)

Question 320392: Convert the equation y(x)= -2(x-k)^2 + 4 into the standard form. Assume k is a constant whose value you do not know.
I keep ending up with an extra k that doesn't fit into the standard equation:
y(x)= -2(x-k)^2 + 4
= -2(x-k)(x-k)+4
= -2(x^2 -xk -xk +k)+4
= -2(x^2-2xk +k)+4
= -2x^2 +4xk +k +4 not quite standard form!
Click here to see answer by Fombitz(32388)

Question 320398: Find all solutions by factoring.
(x + 7)(x - 9) = 17
Click here to see answer by Fombitz(32388)

Question 320402: Solve the equation.
25a2 = (2a + 5)2
Click here to see answer by checkley77(12844)

Question 320403: Solve the equation.
(3x+2)=16
Click here to see answer by tshan2467(1)

Question 320399: Find all solutions by factoring.
(6x + 60)(x - 17) = (5x + 58)(x - 18)
Click here to see answer by mananth(16946)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240